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Finding the Fourth Proportional to 65,055, 89,775.96 and 35,247

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Solution

The fourth proportional to 65,055, 89,775.96 and 35,247 is: 48,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,055 : 89,775.96 = 35,247 : x
  2. Step 2: Convert to fraction form
    65,055/89,775.96 = 35,247/x
  3. Step 3: Cross multiply
    65,055x = 89,775.96 × 35,247
  4. Step 4: Simplify right side
    65,055x = 3,164,333,262.12
  5. Step 5: Solve for x
    x = 3,164,333,262.12/65,055
  6. Step 6: Final answer
    x = 48,640.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.